Yup, I do accept the law of the excluded middle. Unreservedly. From a logical point of view, I cannot really imagine what it would mean NOT to be true.
Yes, Kripke semantics makes sense of constructive logic. Topos theory, too. But I really think of all of these embedded in classical logic, and assuming that the law of excluded middle doesn't hold for general reasoning just doesn't make any kind of sense to me.
Yes, Kripke semantics makes sense of constructive logic. Topos theory, too. But I really think of all of these embedded in classical logic, and assuming that the law of excluded middle doesn't hold for general reasoning just doesn't make any kind of sense to me.